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Simplifying (5 + -1) + -1(3 + -2i) = 0 Combine like terms: 5 + -1 = 4 (4) + -1(3 + -2i) = 0 4 + -1(3 + -2i) = 0 4 + (3 * -1 + -2i * -1) = 0 4 + (-3 + 2i) = 0 Combine like terms: 4 + -3 = 1 1 + 2i = 0 Solving 1 + 2i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2i = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2i = 0 + -1 2i = 0 + -1 Combine like terms: 0 + -1 = -1 2i = -1 Divide each side by '2'. i = -0.5 Simplifying i = -0.5
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